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A prospector finds a solid rock composed of granite (\rho = 2560 {\rm kg/m^{3}}) and gold. The volume of the rock is 3.45×10?4{\rm m^{3}} , and its mass is 4.01{\rm kg} . Part A What mass of gold is contained in the rock? m_{\rm gold} = {\rm kg} What percentage of the rock is gold by volume?
A delivery truck travels 13 km north, 17 km east, and 29 km south. What is the angle of the final displacement relative to the east
A solid sphere is released from height h from the top of an incline making an angle ? with the horizontal. Calculate the speed of the sphere when it reaches the bottom of the incline in the case that it rolls without slipping
If the phase angle for a block-spring system in SHM is pi/6 rad and the block's position is given by x = xm cos(wt + pi). what is the ratio of the kinetic energy to the potential enery at time t = 0
An aluminum cup contains 225 g of water at 27°C. A 450 g sample of silver at a initial temperature of 85°C is placed in the water. Of 45 g copper stirrer is used to stir the mixture until it reaches its final equilibrium temperature of 32°C. What is ..
A 3400 resistor and a 1.6 µF capacitor are connected in series across a generator (60.0 Hz, 120 V rms). Determine the average power dissipated in the circuit
In a Young's double slit experiment, the slit separation is made to be exactly 4?. At what angle will the third bright fringe to the side of the central fringe occur? Caution: the angles involved are such that the approximation sin? is not valid.
Estimate the gravitational force between the Sun and Venus. The mass of the Sun is 1.99×10^30 kg. The mass of Venus is 48.7×10^23 kg. The distance between them is 10.8×10^10 m.
A copper rod has a length of 1.0 m and a cross-sectional area of 4.1 x10-4 m2. What is the mass of ice per second that melts
A digital camera has 10 megapixels and each pixel has a depth of 32 bits. In units of megabytes calculate how much storage is needed for one image
A football spends a total of 5 seconds in the air. It reaches a peak height of 30 meters. How long does it take to reach its peak height? The football has the range of 90 yards. What is its horizontal velocity.
A 70,000 kg spaceship wants to orbit a tiny black hole at a height of 10,000 m. What speed should the captain tell the computer to set the spaceship for
As a function of time t, force component Fx that acts on a 3.00 kg ice block that can move only along the x axis. At t=0, the block is moving in positive direction of the axis, with a speed of 3.0 m/s. what are its (a) speed and (b) direction of trav..
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